I has posted a question on another Mystery No Start link, wondering where I could find replacement RCMs, then found this link last night. Pulled out the RCM, and wouldn't you know it, the EXACT pins were worn out on the board from my car, and in the same condition as the 'decent' board. Soldered the daylights out of the pins, placed the whole thing back in my car, and outside of a second of apparent hesitation when I started the car (I had disconnected the battery the night before since my husband was still convinced it was a faulty battery and not the RCM), my car has started beautifully.

Seems an almost too-simple repair job, really, and a potential money-maker for any stealership or mechanic who knows what to look for.